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Finding the Third Proportional to 298,844 and 647,464

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Solution

The third proportional to 298,844 and 647,464 is: 1,402,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,844 : 647,464 = 647,464 : x
  2. Step 2: Convert to fraction form
    298,844/647,464 = 647,464/x
  3. Step 3: Cross multiply
    298,844x = 647,464 × 647,464
  4. Step 4: Simplify right side
    298,844x = 419,209,631,296
  5. Step 5: Solve for x
    x = 419,209,631,296/298,844
  6. Step 6: Final answer
    x = 1,402,770.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.